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arXiv · 1411.5673

Bi-Lipschitz Expansion of Measurable Sets

Riddhipratim Basu·Vladas Sidoravicius·Allan Sly
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Abstract

We show that for $0<\gamma, \gamma' <1$ and for measurable subsets of the unit square with Lebesgue measure $\gamma$ there exist bi-Lipschitz maps with bounded Lipschitz constant (uniformly over all such sets) which are identity on the boundary and increases the Lebesgue measure of the set to at least $1-\gamma'$.

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Riddhipratim Basu, Vladas Sidoravicius, Allan Sly. 2014-11-20. Bi-Lipschitz Expansion of Measurable Sets. https://arxiv.org/abs/1411.5673

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